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4243235408256 = 273132223293207
BaseRepresentation
bin111101101111110100100…
…010100000100110000000
3120000122112101000200200110
4331233310202200212000
51024010121231031011
613005152044551320
7615364220603055
oct75576442404600
916018471020613
104243235408256
111396600848a29
1258644ab52540
1324a19b585500
1410953359302c
1575599eaaba6
hex3dbf48a0980

4243235408256 has 192 divisors, whose sum is σ = 12259565982720. Its totient is φ = 1299751704576.

The previous prime is 4243235408189. The next prime is 4243235408323. The reversal of 4243235408256 is 6528045323424.

It is an interprime number because it is at equal distance from previous prime (4243235408189) and next prime (4243235408323).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14325205 + ... + 14618411.

It is an arithmetic number, because the mean of its divisors is an integer number (63851906160).

Almost surely, 24243235408256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4243235408256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129782991360).

4243235408256 is an abundant number, since it is smaller than the sum of its proper divisors (8016330574464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4243235408256 is a wasteful number, since it uses less digits than its factorization.

4243235408256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293473 (or 293448 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 4243235408256 in words is "four trillion, two hundred forty-three billion, two hundred thirty-five million, four hundred eight thousand, two hundred fifty-six".